Energy localization in a nonlinear discrete system.
Energy localization in a nonlinear discrete system.
复制标题
DOI：
10.1103/physreve.53.5403
复制
发表时间：
1996-05
期刊：
影响因子：
--
通讯作者：
Bilbault;Marquié
中科院分区：
文献类型：
--
作者：
Bilbault;Marquié
我们证明，在弱振幅和慢时间限制下，描述一维晶格动力学的离散方程可以简化为一个修正的Ablowitz-Ladik方程。然后研究了无周期边界条件和有周期边界条件时连续波解的稳定性；通过调制不稳定性预测了能量的局域化。我们在六个振子的循环系统上进行的数值模拟与我们的理论预测一致。
We show that, in the weak amplitude and slow time limits, the discrete equations describing the dynamics of a one-dimensional lattice can be reduced to a modified Ablowitz-Ladik equation. The stability of a continuous wave solution is then investigated without and with periodic boundary conditions; Energy localization via modulational instability is predicted. Our numerical simulations, performed on a cyclic system of six oscillators, agree with our theoretical predictions.